Question

the rectangle below has an area of 18x^{3} square meters and a length of 2x^{2} meters. what is the width of the rectangle? width = meters

Explanation:

Step1: Recall area formula

The area formula of a rectangle is $A = l\times w$, where $A$ is area, $l$ is length and $w$ is width. We need to solve for $w$, so $w=\frac{A}{l}$.

Step2: Substitute given values

Given $A = 18x^{3}$ and $l = 2x^{2}$, then $w=\frac{18x^{3}}{2x^{2}}$.

Step3: Simplify the expression

Using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$ and $\frac{18}{2}=9$, we have $w = 9x^{3-2}=9x$.

Answer:

$9x$